Movement of Intransitive Permutation Groups Having Maximum Degree  

作　　者：Mehdi ALAEIYAN Mehdi REZAEI 

机构地区：[1]School of Mathematics,Iran University of Science and Technology

出　　处：《Chinese Annals of Mathematics,Series B》2012年第1期143-148,共6页数学年刊（B辑英文版）

摘　　要：Let G be a permutation group positive integer. Then the movement of G on a set Ω with no fixed points in Ω, and m be a is defined as move（G）：=supГ{[Г^9 ／Г｜｜g ∈ G}. It F was shown by Praeger that if move（G） = m, then ｜Ω｜ ≤ 3m ＋ t - 1, where t is the number of G-orbits on ≤. In this paper, all intransitive permutation groups with degree 3m ＋ t - 1 which have maximum bound are classified. Indeed, a positive answer to her question that whether the upper bound ｜Ω｜ = 3m ＋ t - 1 for ｜Ω｜ is sharp for every t 〉 1 is given.

关 键 词：Intransitive permutation groups Bounded movement ORBIT 

分 类 号：O152.1[理学—数学] S823.4[理学—基础数学]